Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation
| dc.contributor.author | Denk, Robert | |
| dc.contributor.author | Hummel, Felix Benjamin | |
| dc.date.accessioned | 2019-07-17T13:00:40Z | |
| dc.date.available | 2019-07-17T13:00:40Z | |
| dc.date.issued | 2019 | eng |
| dc.description.abstract | We study dispersive mixed-order systems of pseudodifferential operators in the setting of Lp-Sobolev spaces. Under the weak condition of quasi-hyperbolicity, these operators generate a semigroup in the space of tempered distributions. However, if the basic space is a tuple of Lp-Sobolev spaces, a strongly continuous semigroup is in many cases only generated if p=2 or n=1. The results are applied to the linear thermoelastic plate equation with and without inertial term and with Fourier's or Maxwell-Cattaneo's law of heat conduction. | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1610.09925 | eng |
| dc.identifier.ppn | 479328722 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/35824.2 | |
| dc.language.iso | eng | eng |
| dc.rights | terms-of-use | |
| dc.subject.ddc | 510 | eng |
| dc.title | Dispersive mixed-order systems in L<sup>p</sup>-Sobolev spaces and application to the thermoelastic plate equation | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Denk2019Dispe-35824.2,
year={2019},
title={Dispersive mixed-order systems in L<sup>p</sup>-Sobolev spaces and application to the thermoelastic plate equation},
url={https://projecteuclid.org/euclid.ade/1556762453},
number={7/8},
volume={24},
issn={1079-9389},
journal={Advances in Differential Equations},
pages={377--406},
author={Denk, Robert and Hummel, Felix Benjamin}
} | |
| kops.citation.iso690 | DENK, Robert, Felix Benjamin HUMMEL, 2019. Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation. In: Advances in Differential Equations. 2019, 24(7/8), pp. 377-406. ISSN 1079-9389 | deu |
| kops.citation.iso690 | DENK, Robert, Felix Benjamin HUMMEL, 2019. Dispersive mixed-order systems in Lp-Sobolev spaces and application to the thermoelastic plate equation. In: Advances in Differential Equations. 2019, 24(7/8), pp. 377-406. ISSN 1079-9389 | eng |
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| kops.sourcefield | Advances in Differential Equations. 2019, <b>24</b>(7/8), pp. 377-406. ISSN 1079-9389 | deu |
| kops.sourcefield.plain | Advances in Differential Equations. 2019, 24(7/8), pp. 377-406. ISSN 1079-9389 | deu |
| kops.sourcefield.plain | Advances in Differential Equations. 2019, 24(7/8), pp. 377-406. ISSN 1079-9389 | eng |
| kops.url | https://projecteuclid.org/euclid.ade/1556762453 | eng |
| kops.urlDate | 2019-07-17 | eng |
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| source.periodicalTitle | Advances in Differential Equations | eng |